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Rationalize; \(\frac{1}{\sqrt{2 + 1}}\)

Further Mathematics
WAEC 2019

Rationalize; \(\frac{1}{\sqrt{2 + 1}}\)

  • A. \(\sqrt{2}\) - 1
  • B. 1 - \(\sqrt{2}\)
  • C. \(\frac{\sqrt{2} - 1}{2}\)
  • D. \(\frac{1 - \sqrt{2}}{2}\)
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Correct Answer: Option A
Explanation

\(\frac{1}{\sqrt{2} + 1}\) x \(\frac{\sqrt{2} - 1}{\sqrt{2} - 1}\)

= \(\frac{\sqrt{2} - 1}{2 - 1}\)

= \(\frac{\sqrt{2} - 1}{1} = \sqrt{2} - 1\)


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709